Thinking Mathematically (6th Edition)

Published by Pearson
ISBN 10: 0321867327
ISBN 13: 978-0-32186-732-2

Chapter 2 - Set Theory - 2.3 Venn Diagrams and Set Operations - Exercise Set 2.3 - Page 82: 121


$$II\ \ region$$

Work Step by Step

we have this information $U=\left\{\begin{array}{l} {\text { Elementary school teachers, police officer, surgeion, }} \\ {\text {Airline Pilot, Banker, Family doctor, Lawyer }} \end{array} \right.$ $A=$ The set of jobs for which more than 20$\%$ prefer men. $\ \ \ =\{\text { Police officer, surgeon, Airline Pilot, Family doctor, lawyer }\}$ $B=$ The set of jobs for which more than 20$\%$ prefer women, $\ \ \ =\{\text { Elementary school teacher, Banker, Family doctor }\}$ $A \cap B=$ The common jobs which more than 20$\%$ prefer men and women $\quad\quad\quad=\{\text { Family doctor }\}$ So we can see that $\text{(Family doctor)}$ is a job that belongs in both $A$ and $B$; therefore, it belongs in the $II$ region.
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